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Finding the Fourth Proportional to 233.99, 322.91 and 140.77

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Solution

The fourth proportional to 233.99, 322.91 and 140.77 is: 194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.99 : 322.91 = 140.77 : x
  2. Step 2: Convert to fraction form
    233.99/322.91 = 140.77/x
  3. Step 3: Cross multiply
    233.99x = 322.91 × 140.77
  4. Step 4: Simplify right side
    233.99x = 45,454.53
  5. Step 5: Solve for x
    x = 45,454.53/233.99
  6. Step 6: Final answer
    x = 194.26

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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.