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Finding the Fourth Proportional to 417.90, 577.47 and 320.34

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Solution

The fourth proportional to 417.90, 577.47 and 320.34 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 577.47 = 320.34 : x
  2. Step 2: Convert to fraction form
    417.90/577.47 = 320.34/x
  3. Step 3: Cross multiply
    417.90x = 577.47 × 320.34
  4. Step 4: Simplify right side
    417.90x = 184,986.74
  5. Step 5: Solve for x
    x = 184,986.74/417.90
  6. Step 6: Final answer
    x = 442.66

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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.