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Finding the Fourth Proportional to 352.98, 531.54 and 307.87

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Solution

The fourth proportional to 352.98, 531.54 and 307.87 is: 463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.98 : 531.54 = 307.87 : x
  2. Step 2: Convert to fraction form
    352.98/531.54 = 307.87/x
  3. Step 3: Cross multiply
    352.98x = 531.54 × 307.87
  4. Step 4: Simplify right side
    352.98x = 163,643.89
  5. Step 5: Solve for x
    x = 163,643.89/352.98
  6. Step 6: Final answer
    x = 463.61

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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.