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Finding the Fourth Proportional to 541.71, 812.88 and 264.74

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Solution

The fourth proportional to 541.71, 812.88 and 264.74 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.71 : 812.88 = 264.74 : x
  2. Step 2: Convert to fraction form
    541.71/812.88 = 264.74/x
  3. Step 3: Cross multiply
    541.71x = 812.88 × 264.74
  4. Step 4: Simplify right side
    541.71x = 215,197.79
  5. Step 5: Solve for x
    x = 215,197.79/541.71
  6. Step 6: Final answer
    x = 397.26

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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.