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Finding the Fourth Proportional to 463.77, 640.01 and 253.95

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Solution

The fourth proportional to 463.77, 640.01 and 253.95 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.77 : 640.01 = 253.95 : x
  2. Step 2: Convert to fraction form
    463.77/640.01 = 253.95/x
  3. Step 3: Cross multiply
    463.77x = 640.01 × 253.95
  4. Step 4: Simplify right side
    463.77x = 162,529.90
  5. Step 5: Solve for x
    x = 162,529.90/463.77
  6. Step 6: Final answer
    x = 350.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.