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Finding the Fourth Proportional to 212.79, 293.78 and 146.51

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Solution

The fourth proportional to 212.79, 293.78 and 146.51 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.79 : 293.78 = 146.51 : x
  2. Step 2: Convert to fraction form
    212.79/293.78 = 146.51/x
  3. Step 3: Cross multiply
    212.79x = 293.78 × 146.51
  4. Step 4: Simplify right side
    212.79x = 43,041.71
  5. Step 5: Solve for x
    x = 43,041.71/212.79
  6. Step 6: Final answer
    x = 202.27

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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.