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Finding the Fourth Proportional to 352.46, 530.76 and 307.34

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Solution

The fourth proportional to 352.46, 530.76 and 307.34 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.46 : 530.76 = 307.34 : x
  2. Step 2: Convert to fraction form
    352.46/530.76 = 307.34/x
  3. Step 3: Cross multiply
    352.46x = 530.76 × 307.34
  4. Step 4: Simplify right side
    352.46x = 163,123.78
  5. Step 5: Solve for x
    x = 163,123.78/352.46
  6. Step 6: Final answer
    x = 462.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.