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Finding the Fourth Proportional to 630.92, 946.02 and 265.40

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Solution

The fourth proportional to 630.92, 946.02 and 265.40 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.92 : 946.02 = 265.40 : x
  2. Step 2: Convert to fraction form
    630.92/946.02 = 265.40/x
  3. Step 3: Cross multiply
    630.92x = 946.02 × 265.40
  4. Step 4: Simplify right side
    630.92x = 251,073.71
  5. Step 5: Solve for x
    x = 251,073.71/630.92
  6. Step 6: Final answer
    x = 397.95

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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.