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Finding the Fourth Proportional to 423.47, 584.55 and 276.14

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Solution

The fourth proportional to 423.47, 584.55 and 276.14 is: 381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.47 : 584.55 = 276.14 : x
  2. Step 2: Convert to fraction form
    423.47/584.55 = 276.14/x
  3. Step 3: Cross multiply
    423.47x = 584.55 × 276.14
  4. Step 4: Simplify right side
    423.47x = 161,417.64
  5. Step 5: Solve for x
    x = 161,417.64/423.47
  6. Step 6: Final answer
    x = 381.18

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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.