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Finding the Fourth Proportional to 430.74, 594.36 and 256.02

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Solution

The fourth proportional to 430.74, 594.36 and 256.02 is: 353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.74 : 594.36 = 256.02 : x
  2. Step 2: Convert to fraction form
    430.74/594.36 = 256.02/x
  3. Step 3: Cross multiply
    430.74x = 594.36 × 256.02
  4. Step 4: Simplify right side
    430.74x = 152,168.05
  5. Step 5: Solve for x
    x = 152,168.05/430.74
  6. Step 6: Final answer
    x = 353.27

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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.