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Finding the Fourth Proportional to 659.09, 988.65 and 248.15

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Solution

The fourth proportional to 659.09, 988.65 and 248.15 is: 372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.09 : 988.65 = 248.15 : x
  2. Step 2: Convert to fraction form
    659.09/988.65 = 248.15/x
  3. Step 3: Cross multiply
    659.09x = 988.65 × 248.15
  4. Step 4: Simplify right side
    659.09x = 245,328.55
  5. Step 5: Solve for x
    x = 245,328.55/659.09
  6. Step 6: Final answer
    x = 372.23

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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.