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Finding the Fourth Proportional to 601.55, 902.32 and 145.55

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Solution

The fourth proportional to 601.55, 902.32 and 145.55 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.55 : 902.32 = 145.55 : x
  2. Step 2: Convert to fraction form
    601.55/902.32 = 145.55/x
  3. Step 3: Cross multiply
    601.55x = 902.32 × 145.55
  4. Step 4: Simplify right side
    601.55x = 131,332.68
  5. Step 5: Solve for x
    x = 131,332.68/601.55
  6. Step 6: Final answer
    x = 218.32

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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.