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Finding the Fourth Proportional to 630.86, 946.13 and 265.55

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Solution

The fourth proportional to 630.86, 946.13 and 265.55 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 946.13 = 265.55 : x
  2. Step 2: Convert to fraction form
    630.86/946.13 = 265.55/x
  3. Step 3: Cross multiply
    630.86x = 946.13 × 265.55
  4. Step 4: Simplify right side
    630.86x = 251,238.76
  5. Step 5: Solve for x
    x = 251,238.76/630.86
  6. Step 6: Final answer
    x = 398.25

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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.