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Finding the Fourth Proportional to 296.76, 445.28 and 152.58

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Solution

The fourth proportional to 296.76, 445.28 and 152.58 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 445.28 = 152.58 : x
  2. Step 2: Convert to fraction form
    296.76/445.28 = 152.58/x
  3. Step 3: Cross multiply
    296.76x = 445.28 × 152.58
  4. Step 4: Simplify right side
    296.76x = 67,940.82
  5. Step 5: Solve for x
    x = 67,940.82/296.76
  6. Step 6: Final answer
    x = 228.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.