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Finding the Fourth Proportional to 292.48, 403.36 and 237.20

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Solution

The fourth proportional to 292.48, 403.36 and 237.20 is: 327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.48 : 403.36 = 237.20 : x
  2. Step 2: Convert to fraction form
    292.48/403.36 = 237.20/x
  3. Step 3: Cross multiply
    292.48x = 403.36 × 237.20
  4. Step 4: Simplify right side
    292.48x = 95,676.99
  5. Step 5: Solve for x
    x = 95,676.99/292.48
  6. Step 6: Final answer
    x = 327.12

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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.