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Finding the Fourth Proportional to 292.19, 437.37 and 248.45

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Solution

The fourth proportional to 292.19, 437.37 and 248.45 is: 371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.19 : 437.37 = 248.45 : x
  2. Step 2: Convert to fraction form
    292.19/437.37 = 248.45/x
  3. Step 3: Cross multiply
    292.19x = 437.37 × 248.45
  4. Step 4: Simplify right side
    292.19x = 108,661.46
  5. Step 5: Solve for x
    x = 108,661.46/292.19
  6. Step 6: Final answer
    x = 371.89

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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.