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Finding the Fourth Proportional to 210.55, 290.51 and 145.03

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Solution

The fourth proportional to 210.55, 290.51 and 145.03 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.55 : 290.51 = 145.03 : x
  2. Step 2: Convert to fraction form
    210.55/290.51 = 145.03/x
  3. Step 3: Cross multiply
    210.55x = 290.51 × 145.03
  4. Step 4: Simplify right side
    210.55x = 42,132.67
  5. Step 5: Solve for x
    x = 42,132.67/210.55
  6. Step 6: Final answer
    x = 200.11

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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.