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Finding the Fourth Proportional to 374.58, 562.32 and 253.17

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Solution

The fourth proportional to 374.58, 562.32 and 253.17 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.58 : 562.32 = 253.17 : x
  2. Step 2: Convert to fraction form
    374.58/562.32 = 253.17/x
  3. Step 3: Cross multiply
    374.58x = 562.32 × 253.17
  4. Step 4: Simplify right side
    374.58x = 142,362.55
  5. Step 5: Solve for x
    x = 142,362.55/374.58
  6. Step 6: Final answer
    x = 380.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.