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Finding the Fourth Proportional to 631.27, 946.91 and 266.05

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Solution

The fourth proportional to 631.27, 946.91 and 266.05 is: 399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.27 : 946.91 = 266.05 : x
  2. Step 2: Convert to fraction form
    631.27/946.91 = 266.05/x
  3. Step 3: Cross multiply
    631.27x = 946.91 × 266.05
  4. Step 4: Simplify right side
    631.27x = 251,925.41
  5. Step 5: Solve for x
    x = 251,925.41/631.27
  6. Step 6: Final answer
    x = 399.08

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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.