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Finding the Fourth Proportional to 214.94, 322.07 and 117.35

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Solution

The fourth proportional to 214.94, 322.07 and 117.35 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 322.07 = 117.35 : x
  2. Step 2: Convert to fraction form
    214.94/322.07 = 117.35/x
  3. Step 3: Cross multiply
    214.94x = 322.07 × 117.35
  4. Step 4: Simplify right side
    214.94x = 37,795.13
  5. Step 5: Solve for x
    x = 37,795.13/214.94
  6. Step 6: Final answer
    x = 175.84

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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.