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Finding the Fourth Proportional to 302.60, 451.01 and 293.80

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Solution

The fourth proportional to 302.60, 451.01 and 293.80 is: 437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 451.01 = 293.80 : x
  2. Step 2: Convert to fraction form
    302.60/451.01 = 293.80/x
  3. Step 3: Cross multiply
    302.60x = 451.01 × 293.80
  4. Step 4: Simplify right side
    302.60x = 132,506.74
  5. Step 5: Solve for x
    x = 132,506.74/302.60
  6. Step 6: Final answer
    x = 437.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.