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Finding the Fourth Proportional to 354.87, 529.45 and 315.88

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Solution

The fourth proportional to 354.87, 529.45 and 315.88 is: 471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.87 : 529.45 = 315.88 : x
  2. Step 2: Convert to fraction form
    354.87/529.45 = 315.88/x
  3. Step 3: Cross multiply
    354.87x = 529.45 × 315.88
  4. Step 4: Simplify right side
    354.87x = 167,242.67
  5. Step 5: Solve for x
    x = 167,242.67/354.87
  6. Step 6: Final answer
    x = 471.28

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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.