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Finding the Fourth Proportional to 332.04, 457.74 and 257.88

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Solution

The fourth proportional to 332.04, 457.74 and 257.88 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.04 : 457.74 = 257.88 : x
  2. Step 2: Convert to fraction form
    332.04/457.74 = 257.88/x
  3. Step 3: Cross multiply
    332.04x = 457.74 × 257.88
  4. Step 4: Simplify right side
    332.04x = 118,041.99
  5. Step 5: Solve for x
    x = 118,041.99/332.04
  6. Step 6: Final answer
    x = 355.51

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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.