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Finding the Fourth Proportional to 601.19, 900.80 and 235.78

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Solution

The fourth proportional to 601.19, 900.80 and 235.78 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.19 : 900.80 = 235.78 : x
  2. Step 2: Convert to fraction form
    601.19/900.80 = 235.78/x
  3. Step 3: Cross multiply
    601.19x = 900.80 × 235.78
  4. Step 4: Simplify right side
    601.19x = 212,390.62
  5. Step 5: Solve for x
    x = 212,390.62/601.19
  6. Step 6: Final answer
    x = 353.28

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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.