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Finding the Fourth Proportional to 302.78, 453.85 and 148.38

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Solution

The fourth proportional to 302.78, 453.85 and 148.38 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 453.85 = 148.38 : x
  2. Step 2: Convert to fraction form
    302.78/453.85 = 148.38/x
  3. Step 3: Cross multiply
    302.78x = 453.85 × 148.38
  4. Step 4: Simplify right side
    302.78x = 67,339.25
  5. Step 5: Solve for x
    x = 67,339.25/302.78
  6. Step 6: Final answer
    x = 222.40

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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.