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Finding the Fourth Proportional to 434.48, 598.60 and 303.20

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Solution

The fourth proportional to 434.48, 598.60 and 303.20 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.48 : 598.60 = 303.20 : x
  2. Step 2: Convert to fraction form
    434.48/598.60 = 303.20/x
  3. Step 3: Cross multiply
    434.48x = 598.60 × 303.20
  4. Step 4: Simplify right side
    434.48x = 181,495.52
  5. Step 5: Solve for x
    x = 181,495.52/434.48
  6. Step 6: Final answer
    x = 417.73

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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.