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Finding the Fourth Proportional to 233.90, 322.76 and 145.50

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Solution

The fourth proportional to 233.90, 322.76 and 145.50 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 322.76 = 145.50 : x
  2. Step 2: Convert to fraction form
    233.90/322.76 = 145.50/x
  3. Step 3: Cross multiply
    233.90x = 322.76 × 145.50
  4. Step 4: Simplify right side
    233.90x = 46,963.05
  5. Step 5: Solve for x
    x = 46,963.05/233.90
  6. Step 6: Final answer
    x = 200.79

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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.