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Finding the Fourth Proportional to 357.08, 533.44 and 285.02

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Solution

The fourth proportional to 357.08, 533.44 and 285.02 is: 425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.08 : 533.44 = 285.02 : x
  2. Step 2: Convert to fraction form
    357.08/533.44 = 285.02/x
  3. Step 3: Cross multiply
    357.08x = 533.44 × 285.02
  4. Step 4: Simplify right side
    357.08x = 152,039.64
  5. Step 5: Solve for x
    x = 152,039.64/357.08
  6. Step 6: Final answer
    x = 425.79

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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.