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Finding the Fourth Proportional to 152.95, 228.86 and 135.62

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Solution

The fourth proportional to 152.95, 228.86 and 135.62 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.95 : 228.86 = 135.62 : x
  2. Step 2: Convert to fraction form
    152.95/228.86 = 135.62/x
  3. Step 3: Cross multiply
    152.95x = 228.86 × 135.62
  4. Step 4: Simplify right side
    152.95x = 31,037.99
  5. Step 5: Solve for x
    x = 31,037.99/152.95
  6. Step 6: Final answer
    x = 202.93

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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.