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Finding the Fourth Proportional to 277.66, 383.10 and 188.98

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Solution

The fourth proportional to 277.66, 383.10 and 188.98 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 383.10 = 188.98 : x
  2. Step 2: Convert to fraction form
    277.66/383.10 = 188.98/x
  3. Step 3: Cross multiply
    277.66x = 383.10 × 188.98
  4. Step 4: Simplify right side
    277.66x = 72,398.24
  5. Step 5: Solve for x
    x = 72,398.24/277.66
  6. Step 6: Final answer
    x = 260.74

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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.