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Finding the Fourth Proportional to 385.65, 531.77 and 296.93

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Solution

The fourth proportional to 385.65, 531.77 and 296.93 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.65 : 531.77 = 296.93 : x
  2. Step 2: Convert to fraction form
    385.65/531.77 = 296.93/x
  3. Step 3: Cross multiply
    385.65x = 531.77 × 296.93
  4. Step 4: Simplify right side
    385.65x = 157,899.56
  5. Step 5: Solve for x
    x = 157,899.56/385.65
  6. Step 6: Final answer
    x = 409.44

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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.