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Finding the Fourth Proportional to 537.12, 740.42 and 340.29

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Solution

The fourth proportional to 537.12, 740.42 and 340.29 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 740.42 = 340.29 : x
  2. Step 2: Convert to fraction form
    537.12/740.42 = 340.29/x
  3. Step 3: Cross multiply
    537.12x = 740.42 × 340.29
  4. Step 4: Simplify right side
    537.12x = 251,955.82
  5. Step 5: Solve for x
    x = 251,955.82/537.12
  6. Step 6: Final answer
    x = 469.09

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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.