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Finding the Fourth Proportional to 542.86, 749.19 and 310.02

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Solution

The fourth proportional to 542.86, 749.19 and 310.02 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.19 = 310.02 : x
  2. Step 2: Convert to fraction form
    542.86/749.19 = 310.02/x
  3. Step 3: Cross multiply
    542.86x = 749.19 × 310.02
  4. Step 4: Simplify right side
    542.86x = 232,263.88
  5. Step 5: Solve for x
    x = 232,263.88/542.86
  6. Step 6: Final answer
    x = 427.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.