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Finding the Fourth Proportional to 282.76, 390.15 and 204.19

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Solution

The fourth proportional to 282.76, 390.15 and 204.19 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 390.15 = 204.19 : x
  2. Step 2: Convert to fraction form
    282.76/390.15 = 204.19/x
  3. Step 3: Cross multiply
    282.76x = 390.15 × 204.19
  4. Step 4: Simplify right side
    282.76x = 79,663.71
  5. Step 5: Solve for x
    x = 79,663.71/282.76
  6. Step 6: Final answer
    x = 281.74

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Find fourth proportional to 141.38, 195.07 and 102.10
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.