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Finding the Fourth Proportional to 631.66, 947.23 and 192.77

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Solution

The fourth proportional to 631.66, 947.23 and 192.77 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.66 : 947.23 = 192.77 : x
  2. Step 2: Convert to fraction form
    631.66/947.23 = 192.77/x
  3. Step 3: Cross multiply
    631.66x = 947.23 × 192.77
  4. Step 4: Simplify right side
    631.66x = 182,597.53
  5. Step 5: Solve for x
    x = 182,597.53/631.66
  6. Step 6: Final answer
    x = 289.08

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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.