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Finding the Fourth Proportional to 385.53, 577.53 and 288.20

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Solution

The fourth proportional to 385.53, 577.53 and 288.20 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.53 : 577.53 = 288.20 : x
  2. Step 2: Convert to fraction form
    385.53/577.53 = 288.20/x
  3. Step 3: Cross multiply
    385.53x = 577.53 × 288.20
  4. Step 4: Simplify right side
    385.53x = 166,441.26
  5. Step 5: Solve for x
    x = 166,441.26/385.53
  6. Step 6: Final answer
    x = 431.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.