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Finding the Fourth Proportional to 388.23, 583.79 and 357.99

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Solution

The fourth proportional to 388.23, 583.79 and 357.99 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 583.79 = 357.99 : x
  2. Step 2: Convert to fraction form
    388.23/583.79 = 357.99/x
  3. Step 3: Cross multiply
    388.23x = 583.79 × 357.99
  4. Step 4: Simplify right side
    388.23x = 208,989.19
  5. Step 5: Solve for x
    x = 208,989.19/388.23
  6. Step 6: Final answer
    x = 538.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.