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Finding the Fourth Proportional to 291.19, 401.71 and 186.23

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Solution

The fourth proportional to 291.19, 401.71 and 186.23 is: 256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 401.71 = 186.23 : x
  2. Step 2: Convert to fraction form
    291.19/401.71 = 186.23/x
  3. Step 3: Cross multiply
    291.19x = 401.71 × 186.23
  4. Step 4: Simplify right side
    291.19x = 74,807.51
  5. Step 5: Solve for x
    x = 74,807.51/291.19
  6. Step 6: Final answer
    x = 256.90

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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.