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Finding the Fourth Proportional to 590.04, 814.20 and 368.94

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Solution

The fourth proportional to 590.04, 814.20 and 368.94 is: 509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 814.20 = 368.94 : x
  2. Step 2: Convert to fraction form
    590.04/814.20 = 368.94/x
  3. Step 3: Cross multiply
    590.04x = 814.20 × 368.94
  4. Step 4: Simplify right side
    590.04x = 300,390.95
  5. Step 5: Solve for x
    x = 300,390.95/590.04
  6. Step 6: Final answer
    x = 509.10

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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.