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Finding the Fourth Proportional to 384.70, 574.09 and 307.30

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Solution

The fourth proportional to 384.70, 574.09 and 307.30 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.70 : 574.09 = 307.30 : x
  2. Step 2: Convert to fraction form
    384.70/574.09 = 307.30/x
  3. Step 3: Cross multiply
    384.70x = 574.09 × 307.30
  4. Step 4: Simplify right side
    384.70x = 176,417.86
  5. Step 5: Solve for x
    x = 176,417.86/384.70
  6. Step 6: Final answer
    x = 458.59

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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.