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Finding the Fourth Proportional to 509.40, 703.02 and 288.42

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Solution

The fourth proportional to 509.40, 703.02 and 288.42 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 703.02 = 288.42 : x
  2. Step 2: Convert to fraction form
    509.40/703.02 = 288.42/x
  3. Step 3: Cross multiply
    509.40x = 703.02 × 288.42
  4. Step 4: Simplify right side
    509.40x = 202,765.03
  5. Step 5: Solve for x
    x = 202,765.03/509.40
  6. Step 6: Final answer
    x = 398.05

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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.