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Finding the Fourth Proportional to 298.12, 411.47 and 210.01

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Solution

The fourth proportional to 298.12, 411.47 and 210.01 is: 289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 411.47 = 210.01 : x
  2. Step 2: Convert to fraction form
    298.12/411.47 = 210.01/x
  3. Step 3: Cross multiply
    298.12x = 411.47 × 210.01
  4. Step 4: Simplify right side
    298.12x = 86,411.76
  5. Step 5: Solve for x
    x = 86,411.76/298.12
  6. Step 6: Final answer
    x = 289.86

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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.