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Finding the Fourth Proportional to 384.63, 574.43 and 307.71

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Solution

The fourth proportional to 384.63, 574.43 and 307.71 is: 459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.63 : 574.43 = 307.71 : x
  2. Step 2: Convert to fraction form
    384.63/574.43 = 307.71/x
  3. Step 3: Cross multiply
    384.63x = 574.43 × 307.71
  4. Step 4: Simplify right side
    384.63x = 176,758.62
  5. Step 5: Solve for x
    x = 176,758.62/384.63
  6. Step 6: Final answer
    x = 459.55

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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.