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Finding the Fourth Proportional to 590.42, 815.02 and 357.50

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Solution

The fourth proportional to 590.42, 815.02 and 357.50 is: 493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.42 : 815.02 = 357.50 : x
  2. Step 2: Convert to fraction form
    590.42/815.02 = 357.50/x
  3. Step 3: Cross multiply
    590.42x = 815.02 × 357.50
  4. Step 4: Simplify right side
    590.42x = 291,369.65
  5. Step 5: Solve for x
    x = 291,369.65/590.42
  6. Step 6: Final answer
    x = 493.50

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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.