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Finding the Fourth Proportional to 155.84, 212.34 and 152.51

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Solution

The fourth proportional to 155.84, 212.34 and 152.51 is: 207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 212.34 = 152.51 : x
  2. Step 2: Convert to fraction form
    155.84/212.34 = 152.51/x
  3. Step 3: Cross multiply
    155.84x = 212.34 × 152.51
  4. Step 4: Simplify right side
    155.84x = 32,382.68
  5. Step 5: Solve for x
    x = 32,382.68/155.84
  6. Step 6: Final answer
    x = 207.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.