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Finding the Fourth Proportional to 601.51, 902.13 and 216.76

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Solution

The fourth proportional to 601.51, 902.13 and 216.76 is: 325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.51 : 902.13 = 216.76 : x
  2. Step 2: Convert to fraction form
    601.51/902.13 = 216.76/x
  3. Step 3: Cross multiply
    601.51x = 902.13 × 216.76
  4. Step 4: Simplify right side
    601.51x = 195,545.70
  5. Step 5: Solve for x
    x = 195,545.70/601.51
  6. Step 6: Final answer
    x = 325.09

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1.5x scale

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.