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Finding the Fourth Proportional to 282.59, 423.64 and 145.72

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Solution

The fourth proportional to 282.59, 423.64 and 145.72 is: 218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 423.64 = 145.72 : x
  2. Step 2: Convert to fraction form
    282.59/423.64 = 145.72/x
  3. Step 3: Cross multiply
    282.59x = 423.64 × 145.72
  4. Step 4: Simplify right side
    282.59x = 61,731.40
  5. Step 5: Solve for x
    x = 61,731.40/282.59
  6. Step 6: Final answer
    x = 218.45

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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.