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Finding the Fourth Proportional to 497.42, 745.10 and 291.36

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Solution

The fourth proportional to 497.42, 745.10 and 291.36 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 745.10 = 291.36 : x
  2. Step 2: Convert to fraction form
    497.42/745.10 = 291.36/x
  3. Step 3: Cross multiply
    497.42x = 745.10 × 291.36
  4. Step 4: Simplify right side
    497.42x = 217,091.00
  5. Step 5: Solve for x
    x = 217,091.00/497.42
  6. Step 6: Final answer
    x = 436.44

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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.