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Finding the Fourth Proportional to 154.53, 213.16 and 123.40

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Solution

The fourth proportional to 154.53, 213.16 and 123.40 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 213.16 = 123.40 : x
  2. Step 2: Convert to fraction form
    154.53/213.16 = 123.40/x
  3. Step 3: Cross multiply
    154.53x = 213.16 × 123.40
  4. Step 4: Simplify right side
    154.53x = 26,303.19
  5. Step 5: Solve for x
    x = 26,303.19/154.53
  6. Step 6: Final answer
    x = 170.21

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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.