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Finding the Fourth Proportional to 424.38, 585.36 and 277.05

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Solution

The fourth proportional to 424.38, 585.36 and 277.05 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 585.36 = 277.05 : x
  2. Step 2: Convert to fraction form
    424.38/585.36 = 277.05/x
  3. Step 3: Cross multiply
    424.38x = 585.36 × 277.05
  4. Step 4: Simplify right side
    424.38x = 162,173.99
  5. Step 5: Solve for x
    x = 162,173.99/424.38
  6. Step 6: Final answer
    x = 382.14

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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.