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Finding the Fourth Proportional to 491.66, 678.51 and 281.88

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Solution

The fourth proportional to 491.66, 678.51 and 281.88 is: 389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 678.51 = 281.88 : x
  2. Step 2: Convert to fraction form
    491.66/678.51 = 281.88/x
  3. Step 3: Cross multiply
    491.66x = 678.51 × 281.88
  4. Step 4: Simplify right side
    491.66x = 191,258.40
  5. Step 5: Solve for x
    x = 191,258.40/491.66
  6. Step 6: Final answer
    x = 389.01

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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.