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Finding the Fourth Proportional to 282.63, 423.13 and 261.10

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Solution

The fourth proportional to 282.63, 423.13 and 261.10 is: 390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 423.13 = 261.10 : x
  2. Step 2: Convert to fraction form
    282.63/423.13 = 261.10/x
  3. Step 3: Cross multiply
    282.63x = 423.13 × 261.10
  4. Step 4: Simplify right side
    282.63x = 110,477.13
  5. Step 5: Solve for x
    x = 110,477.13/282.63
  6. Step 6: Final answer
    x = 390.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.