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Finding the Fourth Proportional to 355.40, 532.38 and 318.98

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Solution

The fourth proportional to 355.40, 532.38 and 318.98 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.40 : 532.38 = 318.98 : x
  2. Step 2: Convert to fraction form
    355.40/532.38 = 318.98/x
  3. Step 3: Cross multiply
    355.40x = 532.38 × 318.98
  4. Step 4: Simplify right side
    355.40x = 169,818.57
  5. Step 5: Solve for x
    x = 169,818.57/355.40
  6. Step 6: Final answer
    x = 477.82

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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.