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Finding the Fourth Proportional to 145.83, 219.21 and 142.38

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Solution

The fourth proportional to 145.83, 219.21 and 142.38 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 219.21 = 142.38 : x
  2. Step 2: Convert to fraction form
    145.83/219.21 = 142.38/x
  3. Step 3: Cross multiply
    145.83x = 219.21 × 142.38
  4. Step 4: Simplify right side
    145.83x = 31,211.12
  5. Step 5: Solve for x
    x = 31,211.12/145.83
  6. Step 6: Final answer
    x = 214.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.