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Finding the Fourth Proportional to 498.27, 745.58 and 292.93

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Solution

The fourth proportional to 498.27, 745.58 and 292.93 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 745.58 = 292.93 : x
  2. Step 2: Convert to fraction form
    498.27/745.58 = 292.93/x
  3. Step 3: Cross multiply
    498.27x = 745.58 × 292.93
  4. Step 4: Simplify right side
    498.27x = 218,401.28
  5. Step 5: Solve for x
    x = 218,401.28/498.27
  6. Step 6: Final answer
    x = 438.32

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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.