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Finding the Fourth Proportional to 467.67, 698.20 and 357.40

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Solution

The fourth proportional to 467.67, 698.20 and 357.40 is: 533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.67 : 698.20 = 357.40 : x
  2. Step 2: Convert to fraction form
    467.67/698.20 = 357.40/x
  3. Step 3: Cross multiply
    467.67x = 698.20 × 357.40
  4. Step 4: Simplify right side
    467.67x = 249,533.19
  5. Step 5: Solve for x
    x = 249,533.19/467.67
  6. Step 6: Final answer
    x = 533.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.