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Finding the Fourth Proportional to 497.39, 745.51 and 247.10

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Solution

The fourth proportional to 497.39, 745.51 and 247.10 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.39 : 745.51 = 247.10 : x
  2. Step 2: Convert to fraction form
    497.39/745.51 = 247.10/x
  3. Step 3: Cross multiply
    497.39x = 745.51 × 247.10
  4. Step 4: Simplify right side
    497.39x = 184,211.18
  5. Step 5: Solve for x
    x = 184,211.18/497.39
  6. Step 6: Final answer
    x = 370.36

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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.