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Finding the Fourth Proportional to 147.51, 222.65 and 147.51

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Solution

The fourth proportional to 147.51, 222.65 and 147.51 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.51 : 222.65 = 147.51 : x
  2. Step 2: Convert to fraction form
    147.51/222.65 = 147.51/x
  3. Step 3: Cross multiply
    147.51x = 222.65 × 147.51
  4. Step 4: Simplify right side
    147.51x = 32,842.64
  5. Step 5: Solve for x
    x = 32,842.64/147.51
  6. Step 6: Final answer
    x = 222.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.