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Finding the Fourth Proportional to 509.42, 703.13 and 288.50

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Solution

The fourth proportional to 509.42, 703.13 and 288.50 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 703.13 = 288.50 : x
  2. Step 2: Convert to fraction form
    509.42/703.13 = 288.50/x
  3. Step 3: Cross multiply
    509.42x = 703.13 × 288.50
  4. Step 4: Simplify right side
    509.42x = 202,853.01
  5. Step 5: Solve for x
    x = 202,853.01/509.42
  6. Step 6: Final answer
    x = 398.20

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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.