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Finding the Fourth Proportional to 385.47, 580.25 and 295.29

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Solution

The fourth proportional to 385.47, 580.25 and 295.29 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 580.25 = 295.29 : x
  2. Step 2: Convert to fraction form
    385.47/580.25 = 295.29/x
  3. Step 3: Cross multiply
    385.47x = 580.25 × 295.29
  4. Step 4: Simplify right side
    385.47x = 171,342.76
  5. Step 5: Solve for x
    x = 171,342.76/385.47
  6. Step 6: Final answer
    x = 444.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.