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Finding the Fourth Proportional to 360.19, 497.69 and 278.01

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Solution

The fourth proportional to 360.19, 497.69 and 278.01 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.19 : 497.69 = 278.01 : x
  2. Step 2: Convert to fraction form
    360.19/497.69 = 278.01/x
  3. Step 3: Cross multiply
    360.19x = 497.69 × 278.01
  4. Step 4: Simplify right side
    360.19x = 138,362.45
  5. Step 5: Solve for x
    x = 138,362.45/360.19
  6. Step 6: Final answer
    x = 384.14

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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.