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Finding the Fourth Proportional to 601.08, 900.90 and 216.12

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Solution

The fourth proportional to 601.08, 900.90 and 216.12 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 900.90 = 216.12 : x
  2. Step 2: Convert to fraction form
    601.08/900.90 = 216.12/x
  3. Step 3: Cross multiply
    601.08x = 900.90 × 216.12
  4. Step 4: Simplify right side
    601.08x = 194,702.51
  5. Step 5: Solve for x
    x = 194,702.51/601.08
  6. Step 6: Final answer
    x = 323.92

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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.