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Finding the Fourth Proportional to 541.78, 747.38 and 345.36

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Solution

The fourth proportional to 541.78, 747.38 and 345.36 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 747.38 = 345.36 : x
  2. Step 2: Convert to fraction form
    541.78/747.38 = 345.36/x
  3. Step 3: Cross multiply
    541.78x = 747.38 × 345.36
  4. Step 4: Simplify right side
    541.78x = 258,115.16
  5. Step 5: Solve for x
    x = 258,115.16/541.78
  6. Step 6: Final answer
    x = 476.42

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Double scale
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1.5x scale

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.