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Finding the Fourth Proportional to 347.46, 478.62 and 253.95

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Solution

The fourth proportional to 347.46, 478.62 and 253.95 is: 349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.46 : 478.62 = 253.95 : x
  2. Step 2: Convert to fraction form
    347.46/478.62 = 253.95/x
  3. Step 3: Cross multiply
    347.46x = 478.62 × 253.95
  4. Step 4: Simplify right side
    347.46x = 121,545.55
  5. Step 5: Solve for x
    x = 121,545.55/347.46
  6. Step 6: Final answer
    x = 349.81

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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.