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Finding the Fourth Proportional to 310.77, 463.59 and 265.41

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Solution

The fourth proportional to 310.77, 463.59 and 265.41 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.77 : 463.59 = 265.41 : x
  2. Step 2: Convert to fraction form
    310.77/463.59 = 265.41/x
  3. Step 3: Cross multiply
    310.77x = 463.59 × 265.41
  4. Step 4: Simplify right side
    310.77x = 123,041.42
  5. Step 5: Solve for x
    x = 123,041.42/310.77
  6. Step 6: Final answer
    x = 395.92

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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.