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Finding the Fourth Proportional to 541.90, 747.90 and 345.98

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Solution

The fourth proportional to 541.90, 747.90 and 345.98 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.90 : 747.90 = 345.98 : x
  2. Step 2: Convert to fraction form
    541.90/747.90 = 345.98/x
  3. Step 3: Cross multiply
    541.90x = 747.90 × 345.98
  4. Step 4: Simplify right side
    541.90x = 258,758.44
  5. Step 5: Solve for x
    x = 258,758.44/541.90
  6. Step 6: Final answer
    x = 477.50

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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.