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Finding the Fourth Proportional to 354.60, 529.66 and 282.24

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Solution

The fourth proportional to 354.60, 529.66 and 282.24 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 529.66 = 282.24 : x
  2. Step 2: Convert to fraction form
    354.60/529.66 = 282.24/x
  3. Step 3: Cross multiply
    354.60x = 529.66 × 282.24
  4. Step 4: Simplify right side
    354.60x = 149,491.24
  5. Step 5: Solve for x
    x = 149,491.24/354.60
  6. Step 6: Final answer
    x = 421.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.