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Finding the Fourth Proportional to 154.41, 214.54 and 152.47

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Solution

The fourth proportional to 154.41, 214.54 and 152.47 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 214.54 = 152.47 : x
  2. Step 2: Convert to fraction form
    154.41/214.54 = 152.47/x
  3. Step 3: Cross multiply
    154.41x = 214.54 × 152.47
  4. Step 4: Simplify right side
    154.41x = 32,710.91
  5. Step 5: Solve for x
    x = 32,710.91/154.41
  6. Step 6: Final answer
    x = 211.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.