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Finding the Fourth Proportional to 210.56, 290.36 and 145.08

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Solution

The fourth proportional to 210.56, 290.36 and 145.08 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 290.36 = 145.08 : x
  2. Step 2: Convert to fraction form
    210.56/290.36 = 145.08/x
  3. Step 3: Cross multiply
    210.56x = 290.36 × 145.08
  4. Step 4: Simplify right side
    210.56x = 42,125.43
  5. Step 5: Solve for x
    x = 42,125.43/210.56
  6. Step 6: Final answer
    x = 200.06

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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.