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Finding the Fourth Proportional to 374.40, 564.48 and 367.68

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Solution

The fourth proportional to 374.40, 564.48 and 367.68 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.40 : 564.48 = 367.68 : x
  2. Step 2: Convert to fraction form
    374.40/564.48 = 367.68/x
  3. Step 3: Cross multiply
    374.40x = 564.48 × 367.68
  4. Step 4: Simplify right side
    374.40x = 207,548.01
  5. Step 5: Solve for x
    x = 207,548.01/374.40
  6. Step 6: Final answer
    x = 554.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.