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Finding the Fourth Proportional to 505.52, 696.68 and 357.92

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Solution

The fourth proportional to 505.52, 696.68 and 357.92 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 696.68 = 357.92 : x
  2. Step 2: Convert to fraction form
    505.52/696.68 = 357.92/x
  3. Step 3: Cross multiply
    505.52x = 696.68 × 357.92
  4. Step 4: Simplify right side
    505.52x = 249,355.71
  5. Step 5: Solve for x
    x = 249,355.71/505.52
  6. Step 6: Final answer
    x = 493.27

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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.