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Finding the Fourth Proportional to 302.54, 454.20 and 148.59

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Solution

The fourth proportional to 302.54, 454.20 and 148.59 is: 223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 454.20 = 148.59 : x
  2. Step 2: Convert to fraction form
    302.54/454.20 = 148.59/x
  3. Step 3: Cross multiply
    302.54x = 454.20 × 148.59
  4. Step 4: Simplify right side
    302.54x = 67,490.07
  5. Step 5: Solve for x
    x = 67,490.07/302.54
  6. Step 6: Final answer
    x = 223.08

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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.