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Finding the Fourth Proportional to 384.68, 574.05 and 343.76

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Solution

The fourth proportional to 384.68, 574.05 and 343.76 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 574.05 = 343.76 : x
  2. Step 2: Convert to fraction form
    384.68/574.05 = 343.76/x
  3. Step 3: Cross multiply
    384.68x = 574.05 × 343.76
  4. Step 4: Simplify right side
    384.68x = 197,333.71
  5. Step 5: Solve for x
    x = 197,333.71/384.68
  6. Step 6: Final answer
    x = 512.98

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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.