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Finding the Fourth Proportional to 302.94, 454.26 and 140.48

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Solution

The fourth proportional to 302.94, 454.26 and 140.48 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 454.26 = 140.48 : x
  2. Step 2: Convert to fraction form
    302.94/454.26 = 140.48/x
  3. Step 3: Cross multiply
    302.94x = 454.26 × 140.48
  4. Step 4: Simplify right side
    302.94x = 63,816.17
  5. Step 5: Solve for x
    x = 63,816.17/302.94
  6. Step 6: Final answer
    x = 210.66

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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.