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Finding the Fourth Proportional to 476.21, 657.23 and 279.74

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Solution

The fourth proportional to 476.21, 657.23 and 279.74 is: 386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.21 : 657.23 = 279.74 : x
  2. Step 2: Convert to fraction form
    476.21/657.23 = 279.74/x
  3. Step 3: Cross multiply
    476.21x = 657.23 × 279.74
  4. Step 4: Simplify right side
    476.21x = 183,848.84
  5. Step 5: Solve for x
    x = 183,848.84/476.21
  6. Step 6: Final answer
    x = 386.07

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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.