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Finding the Fourth Proportional to 152.89, 229.64 and 152.63

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Solution

The fourth proportional to 152.89, 229.64 and 152.63 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 229.64 = 152.63 : x
  2. Step 2: Convert to fraction form
    152.89/229.64 = 152.63/x
  3. Step 3: Cross multiply
    152.89x = 229.64 × 152.63
  4. Step 4: Simplify right side
    152.89x = 35,050.19
  5. Step 5: Solve for x
    x = 35,050.19/152.89
  6. Step 6: Final answer
    x = 229.25

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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.