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Finding the Fourth Proportional to 384.77, 531 and 319.16

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Solution

The fourth proportional to 384.77, 531 and 319.16 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.77 : 531 = 319.16 : x
  2. Step 2: Convert to fraction form
    384.77/531 = 319.16/x
  3. Step 3: Cross multiply
    384.77x = 531 × 319.16
  4. Step 4: Simplify right side
    384.77x = 169,471.31
  5. Step 5: Solve for x
    x = 169,471.31/384.77
  6. Step 6: Final answer
    x = 440.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.