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Finding the Fourth Proportional to 216.11, 297.35 and 210.06

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Solution

The fourth proportional to 216.11, 297.35 and 210.06 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.11 : 297.35 = 210.06 : x
  2. Step 2: Convert to fraction form
    216.11/297.35 = 210.06/x
  3. Step 3: Cross multiply
    216.11x = 297.35 × 210.06
  4. Step 4: Simplify right side
    216.11x = 62,461.34
  5. Step 5: Solve for x
    x = 62,461.34/216.11
  6. Step 6: Final answer
    x = 289.03

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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.