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Finding the Fourth Proportional to 155.55, 233.32 and 101.78

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Solution

The fourth proportional to 155.55, 233.32 and 101.78 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 233.32 = 101.78 : x
  2. Step 2: Convert to fraction form
    155.55/233.32 = 101.78/x
  3. Step 3: Cross multiply
    155.55x = 233.32 × 101.78
  4. Step 4: Simplify right side
    155.55x = 23,748.02
  5. Step 5: Solve for x
    x = 23,748.02/155.55
  6. Step 6: Final answer
    x = 152.67

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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.