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Finding the Fourth Proportional to 302.69, 416.58 and 237.08

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Solution

The fourth proportional to 302.69, 416.58 and 237.08 is: 326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 416.58 = 237.08 : x
  2. Step 2: Convert to fraction form
    302.69/416.58 = 237.08/x
  3. Step 3: Cross multiply
    302.69x = 416.58 × 237.08
  4. Step 4: Simplify right side
    302.69x = 98,760.70
  5. Step 5: Solve for x
    x = 98,760.70/302.69
  6. Step 6: Final answer
    x = 326.28

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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.