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Finding the Fourth Proportional to 211.16, 291.35 and 128.24

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Solution

The fourth proportional to 211.16, 291.35 and 128.24 is: 176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.16 : 291.35 = 128.24 : x
  2. Step 2: Convert to fraction form
    211.16/291.35 = 128.24/x
  3. Step 3: Cross multiply
    211.16x = 291.35 × 128.24
  4. Step 4: Simplify right side
    211.16x = 37,360.63
  5. Step 5: Solve for x
    x = 37,360.63/211.16
  6. Step 6: Final answer
    x = 176.93

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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.