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Finding the Fourth Proportional to 542.44, 812.36 and 368.50

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Solution

The fourth proportional to 542.44, 812.36 and 368.50 is: 551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 812.36 = 368.50 : x
  2. Step 2: Convert to fraction form
    542.44/812.36 = 368.50/x
  3. Step 3: Cross multiply
    542.44x = 812.36 × 368.50
  4. Step 4: Simplify right side
    542.44x = 299,354.66
  5. Step 5: Solve for x
    x = 299,354.66/542.44
  6. Step 6: Final answer
    x = 551.87

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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.