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Finding the Fourth Proportional to 350.02, 482.89 and 210.14

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Solution

The fourth proportional to 350.02, 482.89 and 210.14 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 482.89 = 210.14 : x
  2. Step 2: Convert to fraction form
    350.02/482.89 = 210.14/x
  3. Step 3: Cross multiply
    350.02x = 482.89 × 210.14
  4. Step 4: Simplify right side
    350.02x = 101,474.50
  5. Step 5: Solve for x
    x = 101,474.50/350.02
  6. Step 6: Final answer
    x = 289.91

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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.