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Finding the Fourth Proportional to 423.29, 583.82 and 357.28

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Solution

The fourth proportional to 423.29, 583.82 and 357.28 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 583.82 = 357.28 : x
  2. Step 2: Convert to fraction form
    423.29/583.82 = 357.28/x
  3. Step 3: Cross multiply
    423.29x = 583.82 × 357.28
  4. Step 4: Simplify right side
    423.29x = 208,587.31
  5. Step 5: Solve for x
    x = 208,587.31/423.29
  6. Step 6: Final answer
    x = 492.77

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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.