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Finding the Fourth Proportional to 212.24, 292.98 and 152.46

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Solution

The fourth proportional to 212.24, 292.98 and 152.46 is: 210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 292.98 = 152.46 : x
  2. Step 2: Convert to fraction form
    212.24/292.98 = 152.46/x
  3. Step 3: Cross multiply
    212.24x = 292.98 × 152.46
  4. Step 4: Simplify right side
    212.24x = 44,667.73
  5. Step 5: Solve for x
    x = 44,667.73/212.24
  6. Step 6: Final answer
    x = 210.46

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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.