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Finding the Fourth Proportional to 401.02, 597.40 and 388.93

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Solution

The fourth proportional to 401.02, 597.40 and 388.93 is: 579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.02 : 597.40 = 388.93 : x
  2. Step 2: Convert to fraction form
    401.02/597.40 = 388.93/x
  3. Step 3: Cross multiply
    401.02x = 597.40 × 388.93
  4. Step 4: Simplify right side
    401.02x = 232,346.78
  5. Step 5: Solve for x
    x = 232,346.78/401.02
  6. Step 6: Final answer
    x = 579.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.