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Finding the Fourth Proportional to 420.58, 578.88 and 296.02

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Solution

The fourth proportional to 420.58, 578.88 and 296.02 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.58 : 578.88 = 296.02 : x
  2. Step 2: Convert to fraction form
    420.58/578.88 = 296.02/x
  3. Step 3: Cross multiply
    420.58x = 578.88 × 296.02
  4. Step 4: Simplify right side
    420.58x = 171,360.06
  5. Step 5: Solve for x
    x = 171,360.06/420.58
  6. Step 6: Final answer
    x = 407.44

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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.