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Finding the Fourth Proportional to 147.48, 203.58 and 121.02

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Solution

The fourth proportional to 147.48, 203.58 and 121.02 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 203.58 = 121.02 : x
  2. Step 2: Convert to fraction form
    147.48/203.58 = 121.02/x
  3. Step 3: Cross multiply
    147.48x = 203.58 × 121.02
  4. Step 4: Simplify right side
    147.48x = 24,637.25
  5. Step 5: Solve for x
    x = 24,637.25/147.48
  6. Step 6: Final answer
    x = 167.05

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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.