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Finding the Fourth Proportional to 302.50, 417.29 and 178.15

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Solution

The fourth proportional to 302.50, 417.29 and 178.15 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.50 : 417.29 = 178.15 : x
  2. Step 2: Convert to fraction form
    302.50/417.29 = 178.15/x
  3. Step 3: Cross multiply
    302.50x = 417.29 × 178.15
  4. Step 4: Simplify right side
    302.50x = 74,340.66
  5. Step 5: Solve for x
    x = 74,340.66/302.50
  6. Step 6: Final answer
    x = 245.75

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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.