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Finding the Fourth Proportional to 210.32, 290.31 and 155.24

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Solution

The fourth proportional to 210.32, 290.31 and 155.24 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 290.31 = 155.24 : x
  2. Step 2: Convert to fraction form
    210.32/290.31 = 155.24/x
  3. Step 3: Cross multiply
    210.32x = 290.31 × 155.24
  4. Step 4: Simplify right side
    210.32x = 45,067.72
  5. Step 5: Solve for x
    x = 45,067.72/210.32
  6. Step 6: Final answer
    x = 214.28

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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.