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Finding the Fourth Proportional to 145.78, 219.58 and 133.02

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Solution

The fourth proportional to 145.78, 219.58 and 133.02 is: 200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 219.58 = 133.02 : x
  2. Step 2: Convert to fraction form
    145.78/219.58 = 133.02/x
  3. Step 3: Cross multiply
    145.78x = 219.58 × 133.02
  4. Step 4: Simplify right side
    145.78x = 29,208.53
  5. Step 5: Solve for x
    x = 29,208.53/145.78
  6. Step 6: Final answer
    x = 200.36

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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.