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Finding the Fourth Proportional to 373.76, 557.84 and 346.96

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Solution

The fourth proportional to 373.76, 557.84 and 346.96 is: 517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.76 : 557.84 = 346.96 : x
  2. Step 2: Convert to fraction form
    373.76/557.84 = 346.96/x
  3. Step 3: Cross multiply
    373.76x = 557.84 × 346.96
  4. Step 4: Simplify right side
    373.76x = 193,548.17
  5. Step 5: Solve for x
    x = 193,548.17/373.76
  6. Step 6: Final answer
    x = 517.84

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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.