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Finding the Fourth Proportional to 401.98, 598.64 and 388.31

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Solution

The fourth proportional to 401.98, 598.64 and 388.31 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.98 : 598.64 = 388.31 : x
  2. Step 2: Convert to fraction form
    401.98/598.64 = 388.31/x
  3. Step 3: Cross multiply
    401.98x = 598.64 × 388.31
  4. Step 4: Simplify right side
    401.98x = 232,457.37
  5. Step 5: Solve for x
    x = 232,457.37/401.98
  6. Step 6: Final answer
    x = 578.28

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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.