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Finding the Fourth Proportional to 245.74, 339.18 and 152.50

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Solution

The fourth proportional to 245.74, 339.18 and 152.50 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.74 : 339.18 = 152.50 : x
  2. Step 2: Convert to fraction form
    245.74/339.18 = 152.50/x
  3. Step 3: Cross multiply
    245.74x = 339.18 × 152.50
  4. Step 4: Simplify right side
    245.74x = 51,724.95
  5. Step 5: Solve for x
    x = 51,724.95/245.74
  6. Step 6: Final answer
    x = 210.49

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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.