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Finding the Fourth Proportional to 245.86, 339.15 and 175.94

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Solution

The fourth proportional to 245.86, 339.15 and 175.94 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.86 : 339.15 = 175.94 : x
  2. Step 2: Convert to fraction form
    245.86/339.15 = 175.94/x
  3. Step 3: Cross multiply
    245.86x = 339.15 × 175.94
  4. Step 4: Simplify right side
    245.86x = 59,670.05
  5. Step 5: Solve for x
    x = 59,670.05/245.86
  6. Step 6: Final answer
    x = 242.70

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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.