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Finding the Fourth Proportional to 431.98, 594.78 and 358.18

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Solution

The fourth proportional to 431.98, 594.78 and 358.18 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 594.78 = 358.18 : x
  2. Step 2: Convert to fraction form
    431.98/594.78 = 358.18/x
  3. Step 3: Cross multiply
    431.98x = 594.78 × 358.18
  4. Step 4: Simplify right side
    431.98x = 213,038.30
  5. Step 5: Solve for x
    x = 213,038.30/431.98
  6. Step 6: Final answer
    x = 493.17

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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.