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Finding the Fourth Proportional to 542.30, 812.10 and 336.02

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Solution

The fourth proportional to 542.30, 812.10 and 336.02 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 812.10 = 336.02 : x
  2. Step 2: Convert to fraction form
    542.30/812.10 = 336.02/x
  3. Step 3: Cross multiply
    542.30x = 812.10 × 336.02
  4. Step 4: Simplify right side
    542.30x = 272,881.84
  5. Step 5: Solve for x
    x = 272,881.84/542.30
  6. Step 6: Final answer
    x = 503.19

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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.