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Finding the Fourth Proportional to 631.64, 946.50 and 246.68

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Solution

The fourth proportional to 631.64, 946.50 and 246.68 is: 369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 946.50 = 246.68 : x
  2. Step 2: Convert to fraction form
    631.64/946.50 = 246.68/x
  3. Step 3: Cross multiply
    631.64x = 946.50 × 246.68
  4. Step 4: Simplify right side
    631.64x = 233,482.62
  5. Step 5: Solve for x
    x = 233,482.62/631.64
  6. Step 6: Final answer
    x = 369.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.