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Finding the Fourth Proportional to 145.74, 219.90 and 145.74

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Solution

The fourth proportional to 145.74, 219.90 and 145.74 is: 219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 219.90 = 145.74 : x
  2. Step 2: Convert to fraction form
    145.74/219.90 = 145.74/x
  3. Step 3: Cross multiply
    145.74x = 219.90 × 145.74
  4. Step 4: Simplify right side
    145.74x = 32,048.23
  5. Step 5: Solve for x
    x = 32,048.23/145.74
  6. Step 6: Final answer
    x = 219.90

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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.