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Finding the Fourth Proportional to 374.04, 515.58 and 257.40

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Solution

The fourth proportional to 374.04, 515.58 and 257.40 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 515.58 = 257.40 : x
  2. Step 2: Convert to fraction form
    374.04/515.58 = 257.40/x
  3. Step 3: Cross multiply
    374.04x = 515.58 × 257.40
  4. Step 4: Simplify right side
    374.04x = 132,710.29
  5. Step 5: Solve for x
    x = 132,710.29/374.04
  6. Step 6: Final answer
    x = 354.80

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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.