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Finding the Fourth Proportional to 259.80, 356.93 and 210.53

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Solution

The fourth proportional to 259.80, 356.93 and 210.53 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 356.93 = 210.53 : x
  2. Step 2: Convert to fraction form
    259.80/356.93 = 210.53/x
  3. Step 3: Cross multiply
    259.80x = 356.93 × 210.53
  4. Step 4: Simplify right side
    259.80x = 75,143.42
  5. Step 5: Solve for x
    x = 75,143.42/259.80
  6. Step 6: Final answer
    x = 289.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.