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Finding the Fourth Proportional to 354.57, 532.29 and 339.90

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Solution

The fourth proportional to 354.57, 532.29 and 339.90 is: 510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 532.29 = 339.90 : x
  2. Step 2: Convert to fraction form
    354.57/532.29 = 339.90/x
  3. Step 3: Cross multiply
    354.57x = 532.29 × 339.90
  4. Step 4: Simplify right side
    354.57x = 180,925.37
  5. Step 5: Solve for x
    x = 180,925.37/354.57
  6. Step 6: Final answer
    x = 510.27

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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.