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Finding the Fourth Proportional to 145.79, 219.75 and 130.91

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Solution

The fourth proportional to 145.79, 219.75 and 130.91 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.79 : 219.75 = 130.91 : x
  2. Step 2: Convert to fraction form
    145.79/219.75 = 130.91/x
  3. Step 3: Cross multiply
    145.79x = 219.75 × 130.91
  4. Step 4: Simplify right side
    145.79x = 28,766.37
  5. Step 5: Solve for x
    x = 28,766.37/145.79
  6. Step 6: Final answer
    x = 197.32

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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.