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Finding the Fourth Proportional to 425.16, 586.17 and 277.74

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Solution

The fourth proportional to 425.16, 586.17 and 277.74 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 586.17 = 277.74 : x
  2. Step 2: Convert to fraction form
    425.16/586.17 = 277.74/x
  3. Step 3: Cross multiply
    425.16x = 586.17 × 277.74
  4. Step 4: Simplify right side
    425.16x = 162,802.86
  5. Step 5: Solve for x
    x = 162,802.86/425.16
  6. Step 6: Final answer
    x = 382.92

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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.