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Finding the Fourth Proportional to 279.68, 419.71 and 97.07

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Solution

The fourth proportional to 279.68, 419.71 and 97.07 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 419.71 = 97.07 : x
  2. Step 2: Convert to fraction form
    279.68/419.71 = 97.07/x
  3. Step 3: Cross multiply
    279.68x = 419.71 × 97.07
  4. Step 4: Simplify right side
    279.68x = 40,742.06
  5. Step 5: Solve for x
    x = 40,742.06/279.68
  6. Step 6: Final answer
    x = 145.68

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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.