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Finding the Fourth Proportional to 387.58, 578 and 356.08

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Solution

The fourth proportional to 387.58, 578 and 356.08 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.58 : 578 = 356.08 : x
  2. Step 2: Convert to fraction form
    387.58/578 = 356.08/x
  3. Step 3: Cross multiply
    387.58x = 578 × 356.08
  4. Step 4: Simplify right side
    387.58x = 205,814.24
  5. Step 5: Solve for x
    x = 205,814.24/387.58
  6. Step 6: Final answer
    x = 531.02

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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.