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Finding the Fourth Proportional to 420.36, 577.76 and 370.94

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Solution

The fourth proportional to 420.36, 577.76 and 370.94 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.36 : 577.76 = 370.94 : x
  2. Step 2: Convert to fraction form
    420.36/577.76 = 370.94/x
  3. Step 3: Cross multiply
    420.36x = 577.76 × 370.94
  4. Step 4: Simplify right side
    420.36x = 214,314.29
  5. Step 5: Solve for x
    x = 214,314.29/420.36
  6. Step 6: Final answer
    x = 509.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.