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Finding the Fourth Proportional to 374.10, 557.63 and 368.43

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Solution

The fourth proportional to 374.10, 557.63 and 368.43 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.10 : 557.63 = 368.43 : x
  2. Step 2: Convert to fraction form
    374.10/557.63 = 368.43/x
  3. Step 3: Cross multiply
    374.10x = 557.63 × 368.43
  4. Step 4: Simplify right side
    374.10x = 205,445.78
  5. Step 5: Solve for x
    x = 205,445.78/374.10
  6. Step 6: Final answer
    x = 549.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.