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Finding the Fourth Proportional to 384.64, 575.54 and 230.65

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Solution

The fourth proportional to 384.64, 575.54 and 230.65 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 575.54 = 230.65 : x
  2. Step 2: Convert to fraction form
    384.64/575.54 = 230.65/x
  3. Step 3: Cross multiply
    384.64x = 575.54 × 230.65
  4. Step 4: Simplify right side
    384.64x = 132,748.30
  5. Step 5: Solve for x
    x = 132,748.30/384.64
  6. Step 6: Final answer
    x = 345.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.