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Finding the Fourth Proportional to 212.68, 292.98 and 147.07

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Solution

The fourth proportional to 212.68, 292.98 and 147.07 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 292.98 = 147.07 : x
  2. Step 2: Convert to fraction form
    212.68/292.98 = 147.07/x
  3. Step 3: Cross multiply
    212.68x = 292.98 × 147.07
  4. Step 4: Simplify right side
    212.68x = 43,088.57
  5. Step 5: Solve for x
    x = 43,088.57/212.68
  6. Step 6: Final answer
    x = 202.60

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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.