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Finding the Fourth Proportional to 214.61, 322.07 and 117.31

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Solution

The fourth proportional to 214.61, 322.07 and 117.31 is: 176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 322.07 = 117.31 : x
  2. Step 2: Convert to fraction form
    214.61/322.07 = 117.31/x
  3. Step 3: Cross multiply
    214.61x = 322.07 × 117.31
  4. Step 4: Simplify right side
    214.61x = 37,782.03
  5. Step 5: Solve for x
    x = 37,782.03/214.61
  6. Step 6: Final answer
    x = 176.05

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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.