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Finding the Fourth Proportional to 210.16, 290.04 and 150.29

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Solution

The fourth proportional to 210.16, 290.04 and 150.29 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 290.04 = 150.29 : x
  2. Step 2: Convert to fraction form
    210.16/290.04 = 150.29/x
  3. Step 3: Cross multiply
    210.16x = 290.04 × 150.29
  4. Step 4: Simplify right side
    210.16x = 43,590.11
  5. Step 5: Solve for x
    x = 43,590.11/210.16
  6. Step 6: Final answer
    x = 207.41

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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.