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Finding the Fourth Proportional to 245.66, 339.10 and 152.44

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Solution

The fourth proportional to 245.66, 339.10 and 152.44 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.66 : 339.10 = 152.44 : x
  2. Step 2: Convert to fraction form
    245.66/339.10 = 152.44/x
  3. Step 3: Cross multiply
    245.66x = 339.10 × 152.44
  4. Step 4: Simplify right side
    245.66x = 51,692.40
  5. Step 5: Solve for x
    x = 51,692.40/245.66
  6. Step 6: Final answer
    x = 210.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.