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Finding the Fourth Proportional to 354.71, 529.43 and 302.31

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Solution

The fourth proportional to 354.71, 529.43 and 302.31 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 529.43 = 302.31 : x
  2. Step 2: Convert to fraction form
    354.71/529.43 = 302.31/x
  3. Step 3: Cross multiply
    354.71x = 529.43 × 302.31
  4. Step 4: Simplify right side
    354.71x = 160,050.47
  5. Step 5: Solve for x
    x = 160,050.47/354.71
  6. Step 6: Final answer
    x = 451.21

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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.