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Finding the Fourth Proportional to 214.47, 296.15 and 131.64

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Solution

The fourth proportional to 214.47, 296.15 and 131.64 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 296.15 = 131.64 : x
  2. Step 2: Convert to fraction form
    214.47/296.15 = 131.64/x
  3. Step 3: Cross multiply
    214.47x = 296.15 × 131.64
  4. Step 4: Simplify right side
    214.47x = 38,983.71
  5. Step 5: Solve for x
    x = 38,983.71/214.47
  6. Step 6: Final answer
    x = 181.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.