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Finding the Fourth Proportional to 155.95, 216.93 and 152.98

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Solution

The fourth proportional to 155.95, 216.93 and 152.98 is: 212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.95 : 216.93 = 152.98 : x
  2. Step 2: Convert to fraction form
    155.95/216.93 = 152.98/x
  3. Step 3: Cross multiply
    155.95x = 216.93 × 152.98
  4. Step 4: Simplify right side
    155.95x = 33,185.12
  5. Step 5: Solve for x
    x = 33,185.12/155.95
  6. Step 6: Final answer
    x = 212.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.