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Finding the Fourth Proportional to 290.88, 434.56 and 233.24

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Solution

The fourth proportional to 290.88, 434.56 and 233.24 is: 348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 434.56 = 233.24 : x
  2. Step 2: Convert to fraction form
    290.88/434.56 = 233.24/x
  3. Step 3: Cross multiply
    290.88x = 434.56 × 233.24
  4. Step 4: Simplify right side
    290.88x = 101,356.77
  5. Step 5: Solve for x
    x = 101,356.77/290.88
  6. Step 6: Final answer
    x = 348.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.