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Finding the Fourth Proportional to 210.00, 289.52 and 147.90

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Solution

The fourth proportional to 210.00, 289.52 and 147.90 is: 203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.00 : 289.52 = 147.90 : x
  2. Step 2: Convert to fraction form
    210.00/289.52 = 147.90/x
  3. Step 3: Cross multiply
    210.00x = 289.52 × 147.90
  4. Step 4: Simplify right side
    210.00x = 42,817.82
  5. Step 5: Solve for x
    x = 42,817.82/210.00
  6. Step 6: Final answer
    x = 203.90

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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.