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Finding the Fourth Proportional to 384.75, 531.14 and 371.07

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Solution

The fourth proportional to 384.75, 531.14 and 371.07 is: 512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 531.14 = 371.07 : x
  2. Step 2: Convert to fraction form
    384.75/531.14 = 371.07/x
  3. Step 3: Cross multiply
    384.75x = 531.14 × 371.07
  4. Step 4: Simplify right side
    384.75x = 197,088.26
  5. Step 5: Solve for x
    x = 197,088.26/384.75
  6. Step 6: Final answer
    x = 512.25

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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.