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Finding the Fourth Proportional to 216.03, 297.87 and 188.70

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Solution

The fourth proportional to 216.03, 297.87 and 188.70 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.03 : 297.87 = 188.70 : x
  2. Step 2: Convert to fraction form
    216.03/297.87 = 188.70/x
  3. Step 3: Cross multiply
    216.03x = 297.87 × 188.70
  4. Step 4: Simplify right side
    216.03x = 56,208.07
  5. Step 5: Solve for x
    x = 56,208.07/216.03
  6. Step 6: Final answer
    x = 260.19

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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.