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Finding the Fourth Proportional to 145.52, 219.37 and 121.63

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Solution

The fourth proportional to 145.52, 219.37 and 121.63 is: 183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 219.37 = 121.63 : x
  2. Step 2: Convert to fraction form
    145.52/219.37 = 121.63/x
  3. Step 3: Cross multiply
    145.52x = 219.37 × 121.63
  4. Step 4: Simplify right side
    145.52x = 26,680.88
  5. Step 5: Solve for x
    x = 26,680.88/145.52
  6. Step 6: Final answer
    x = 183.35

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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.