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Finding the Fourth Proportional to 368.04, 508.10 and 274.66

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Solution

The fourth proportional to 368.04, 508.10 and 274.66 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.04 : 508.10 = 274.66 : x
  2. Step 2: Convert to fraction form
    368.04/508.10 = 274.66/x
  3. Step 3: Cross multiply
    368.04x = 508.10 × 274.66
  4. Step 4: Simplify right side
    368.04x = 139,554.75
  5. Step 5: Solve for x
    x = 139,554.75/368.04
  6. Step 6: Final answer
    x = 379.18

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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.