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Finding the Fourth Proportional to 384.75, 575.10 and 315.90

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Solution

The fourth proportional to 384.75, 575.10 and 315.90 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 575.10 = 315.90 : x
  2. Step 2: Convert to fraction form
    384.75/575.10 = 315.90/x
  3. Step 3: Cross multiply
    384.75x = 575.10 × 315.90
  4. Step 4: Simplify right side
    384.75x = 181,674.09
  5. Step 5: Solve for x
    x = 181,674.09/384.75
  6. Step 6: Final answer
    x = 472.19

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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.