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Finding the Fourth Proportional to 214.17, 322.71 and 176.49

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Solution

The fourth proportional to 214.17, 322.71 and 176.49 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.17 : 322.71 = 176.49 : x
  2. Step 2: Convert to fraction form
    214.17/322.71 = 176.49/x
  3. Step 3: Cross multiply
    214.17x = 322.71 × 176.49
  4. Step 4: Simplify right side
    214.17x = 56,955.09
  5. Step 5: Solve for x
    x = 56,955.09/214.17
  6. Step 6: Final answer
    x = 265.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.