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Finding the Fourth Proportional to 216.15, 298.05 and 211.13

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Solution

The fourth proportional to 216.15, 298.05 and 211.13 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.15 : 298.05 = 211.13 : x
  2. Step 2: Convert to fraction form
    216.15/298.05 = 211.13/x
  3. Step 3: Cross multiply
    216.15x = 298.05 × 211.13
  4. Step 4: Simplify right side
    216.15x = 62,925.81
  5. Step 5: Solve for x
    x = 62,925.81/216.15
  6. Step 6: Final answer
    x = 291.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.