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Finding the Fourth Proportional to 374.64, 514.14 and 368.24

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Solution

The fourth proportional to 374.64, 514.14 and 368.24 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 514.14 = 368.24 : x
  2. Step 2: Convert to fraction form
    374.64/514.14 = 368.24/x
  3. Step 3: Cross multiply
    374.64x = 514.14 × 368.24
  4. Step 4: Simplify right side
    374.64x = 189,326.91
  5. Step 5: Solve for x
    x = 189,326.91/374.64
  6. Step 6: Final answer
    x = 505.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.