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Finding the Fourth Proportional to 356.24, 491.56 and 208.72

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Solution

The fourth proportional to 356.24, 491.56 and 208.72 is: 288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 491.56 = 208.72 : x
  2. Step 2: Convert to fraction form
    356.24/491.56 = 208.72/x
  3. Step 3: Cross multiply
    356.24x = 491.56 × 208.72
  4. Step 4: Simplify right side
    356.24x = 102,598.40
  5. Step 5: Solve for x
    x = 102,598.40/356.24
  6. Step 6: Final answer
    x = 288.00

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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.