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Finding the Fourth Proportional to 354.79, 530.31 and 308.15

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Solution

The fourth proportional to 354.79, 530.31 and 308.15 is: 460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.79 : 530.31 = 308.15 : x
  2. Step 2: Convert to fraction form
    354.79/530.31 = 308.15/x
  3. Step 3: Cross multiply
    354.79x = 530.31 × 308.15
  4. Step 4: Simplify right side
    354.79x = 163,412.37
  5. Step 5: Solve for x
    x = 163,412.37/354.79
  6. Step 6: Final answer
    x = 460.59

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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.