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Finding the Fourth Proportional to 403.78, 555.36 and 368.95

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Solution

The fourth proportional to 403.78, 555.36 and 368.95 is: 507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.78 : 555.36 = 368.95 : x
  2. Step 2: Convert to fraction form
    403.78/555.36 = 368.95/x
  3. Step 3: Cross multiply
    403.78x = 555.36 × 368.95
  4. Step 4: Simplify right side
    403.78x = 204,900.07
  5. Step 5: Solve for x
    x = 204,900.07/403.78
  6. Step 6: Final answer
    x = 507.45

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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.