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Finding the Fourth Proportional to 303.55, 457.62 and 283.74

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Solution

The fourth proportional to 303.55, 457.62 and 283.74 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.55 : 457.62 = 283.74 : x
  2. Step 2: Convert to fraction form
    303.55/457.62 = 283.74/x
  3. Step 3: Cross multiply
    303.55x = 457.62 × 283.74
  4. Step 4: Simplify right side
    303.55x = 129,842.32
  5. Step 5: Solve for x
    x = 129,842.32/303.55
  6. Step 6: Final answer
    x = 427.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.