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Finding the Fourth Proportional to 302.40, 417.42 and 178.08

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Solution

The fourth proportional to 302.40, 417.42 and 178.08 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 417.42 = 178.08 : x
  2. Step 2: Convert to fraction form
    302.40/417.42 = 178.08/x
  3. Step 3: Cross multiply
    302.40x = 417.42 × 178.08
  4. Step 4: Simplify right side
    302.40x = 74,334.15
  5. Step 5: Solve for x
    x = 74,334.15/302.40
  6. Step 6: Final answer
    x = 245.81

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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.