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Finding the Fourth Proportional to 152.82, 230.55 and 145.23

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Solution

The fourth proportional to 152.82, 230.55 and 145.23 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 230.55 = 145.23 : x
  2. Step 2: Convert to fraction form
    152.82/230.55 = 145.23/x
  3. Step 3: Cross multiply
    152.82x = 230.55 × 145.23
  4. Step 4: Simplify right side
    152.82x = 33,482.78
  5. Step 5: Solve for x
    x = 33,482.78/152.82
  6. Step 6: Final answer
    x = 219.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.