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Finding the Fourth Proportional to 385.08, 531.72 and 297.60

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Solution

The fourth proportional to 385.08, 531.72 and 297.60 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 531.72 = 297.60 : x
  2. Step 2: Convert to fraction form
    385.08/531.72 = 297.60/x
  3. Step 3: Cross multiply
    385.08x = 531.72 × 297.60
  4. Step 4: Simplify right side
    385.08x = 158,239.87
  5. Step 5: Solve for x
    x = 158,239.87/385.08
  6. Step 6: Final answer
    x = 410.93

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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.