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Finding the Fourth Proportional to 411.39, 567.33 and 278.63

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Solution

The fourth proportional to 411.39, 567.33 and 278.63 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 567.33 = 278.63 : x
  2. Step 2: Convert to fraction form
    411.39/567.33 = 278.63/x
  3. Step 3: Cross multiply
    411.39x = 567.33 × 278.63
  4. Step 4: Simplify right side
    411.39x = 158,075.16
  5. Step 5: Solve for x
    x = 158,075.16/411.39
  6. Step 6: Final answer
    x = 384.25

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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.