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Finding the Fourth Proportional to 369.16, 509.84 and 287.24

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Solution

The fourth proportional to 369.16, 509.84 and 287.24 is: 396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 509.84 = 287.24 : x
  2. Step 2: Convert to fraction form
    369.16/509.84 = 287.24/x
  3. Step 3: Cross multiply
    369.16x = 509.84 × 287.24
  4. Step 4: Simplify right side
    369.16x = 146,445.01
  5. Step 5: Solve for x
    x = 146,445.01/369.16
  6. Step 6: Final answer
    x = 396.70

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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.