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Finding the Fourth Proportional to 210.30, 289.77 and 188.40

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Solution

The fourth proportional to 210.30, 289.77 and 188.40 is: 259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.30 : 289.77 = 188.40 : x
  2. Step 2: Convert to fraction form
    210.30/289.77 = 188.40/x
  3. Step 3: Cross multiply
    210.30x = 289.77 × 188.40
  4. Step 4: Simplify right side
    210.30x = 54,592.67
  5. Step 5: Solve for x
    x = 54,592.67/210.30
  6. Step 6: Final answer
    x = 259.59

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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.