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Finding the Fourth Proportional to 245.77, 339.10 and 180.16

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Solution

The fourth proportional to 245.77, 339.10 and 180.16 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.77 : 339.10 = 180.16 : x
  2. Step 2: Convert to fraction form
    245.77/339.10 = 180.16/x
  3. Step 3: Cross multiply
    245.77x = 339.10 × 180.16
  4. Step 4: Simplify right side
    245.77x = 61,092.26
  5. Step 5: Solve for x
    x = 61,092.26/245.77
  6. Step 6: Final answer
    x = 248.57

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