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Finding the Fourth Proportional to 509.56, 703.21 and 288.55

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Solution

The fourth proportional to 509.56, 703.21 and 288.55 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 703.21 = 288.55 : x
  2. Step 2: Convert to fraction form
    509.56/703.21 = 288.55/x
  3. Step 3: Cross multiply
    509.56x = 703.21 × 288.55
  4. Step 4: Simplify right side
    509.56x = 202,911.25
  5. Step 5: Solve for x
    x = 202,911.25/509.56
  6. Step 6: Final answer
    x = 398.21

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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.