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Finding the Fourth Proportional to 299.17, 448.41 and 152.50

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Solution

The fourth proportional to 299.17, 448.41 and 152.50 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.17 : 448.41 = 152.50 : x
  2. Step 2: Convert to fraction form
    299.17/448.41 = 152.50/x
  3. Step 3: Cross multiply
    299.17x = 448.41 × 152.50
  4. Step 4: Simplify right side
    299.17x = 68,384.02
  5. Step 5: Solve for x
    x = 68,384.02/299.17
  6. Step 6: Final answer
    x = 228.58

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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.