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Finding the Fourth Proportional to 210.56, 290.67 and 152.78

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Solution

The fourth proportional to 210.56, 290.67 and 152.78 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 290.67 = 152.78 : x
  2. Step 2: Convert to fraction form
    210.56/290.67 = 152.78/x
  3. Step 3: Cross multiply
    210.56x = 290.67 × 152.78
  4. Step 4: Simplify right side
    210.56x = 44,408.56
  5. Step 5: Solve for x
    x = 44,408.56/210.56
  6. Step 6: Final answer
    x = 210.91

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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.