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Finding the Fourth Proportional to 430.52, 593.76 and 283.04

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Solution

The fourth proportional to 430.52, 593.76 and 283.04 is: 390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 593.76 = 283.04 : x
  2. Step 2: Convert to fraction form
    430.52/593.76 = 283.04/x
  3. Step 3: Cross multiply
    430.52x = 593.76 × 283.04
  4. Step 4: Simplify right side
    430.52x = 168,057.83
  5. Step 5: Solve for x
    x = 168,057.83/430.52
  6. Step 6: Final answer
    x = 390.36

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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.